What are A and B if A says “B is a Poor” and B says “The two of us are opposite types”?

Question

A place has two kinds of residents, Poor, who always tell the truth, and their opposites, Rich, who always lie. You encounter two people A and B. What are A and B if A says “B is a Poor” and B says “The two of us are opposite types”?

Answer 1

A and B are both rich. Because A is rich while he is saying 'B is poor', he is lying, making B also rich. While B (is rich) says 'both of us are different types' is lying meaning both rich.

Answer 2

Both are Rich, both are lying.